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(Abriged) We report on the measurement of the rest frame K-band luminosityand total stellar mass of the hosts of 89 broad line Active Galactic Nucleidetected in the zCOSMOS survey in the redshift range 1<z<2.2. The unprecedentedmultiwavelength coverage of the survey field allows us to disentangle theemission of the host galaxy from that of the nuclear black hole in theirSpectral Energy Distributions. We derive an estimate of black hole massesthrough the analysis of the broad Mg II emission lines observed in themedium-resolution spectra taken with VIMOS/VLT as part of the zCOSMOS project.We found that, as compared to the local value, the average black hole to hostgalaxy mass ratio appears to evolve positively with redshift, with a best fitevolution of the form (1+z)^{0.68 \pm0.12 +0.6 -0.3}, where the largeasymmetric systematic errors stem from the uncertainties in the choice of IMF,in the calibration of the virial relation used to estimate BH masses and in themean QSO SED adopted. A thorough analysis of observational biases induced byintrinsic scatter in the scaling relations reinforces the conclusion that anevolution of the MBH-M* relation must ensue for actively growing black holes atearly times: either its overall normalization, or its intrinsic scatter (orboth) appear to increase with redshift. This can be interpreted as signature ofeither a more rapid growth of supermassive black holes at high redshift, achange of structural properties of AGN hosts at earlier times, or a significantmismatch between the typical growth times of nuclear black holes and hostgalaxies.

On the cosmic evolution of the scaling relations between black holes and their host galaxies: Broad Line AGN in the zCOSMOS survey